1349537638896 has 120 divisors (see below), whose sum is σ = 3983246551440. Its totient is φ = 425351347200.

The previous prime is 1349537638871. The next prime is 1349537638919. The reversal of 1349537638896 is 6988367359431.

1349537638896 is a `hidden beast` number, since 1 + 3 + 4 + 9 + 537 + 6 + 3 + 8 + 89 + 6 = 666.

It is a super-3 number, since 3×1349537638896³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952086 + ... + 1898826.

It is an arithmetic number, because the mean of its divisors is an integer number (33193721262).

Almost surely, 2^{1349537638896} is an apocalyptic number.

1349537638896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1349537638896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991623275720).

1349537638896 is an abundant number, since it is smaller than the sum of its proper divisors (2633708912544).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1349537638896 is a wasteful number, since it uses less digits than its factorization.

1349537638896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947295 (or 947286 counting only the distinct ones).

The product of its digits is 705438720, while the sum is 72.

The spelling of 1349537638896 in words is "one trillion, three hundred forty-nine billion, five hundred thirty-seven million, six hundred thirty-eight thousand, eight hundred ninety-six".